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Mathematical Engineering

Tensor Algebra and Tensor Analysis for Engineers

With Applications to Continuum Mechanics

Authors: Itskov, Mikhail

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  • Covers many new aspects in the fifth edition, such as electro- and magnetoelasticity
  • Provides a comprehensible exposition of tensor analysis
  • Presents modern developments in the theory of isotropic and anisotropic tensor functions
  • Includes numerous exercises with solutions
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eBook 67,40 €
price for Spain (gross)
  • ISBN 978-3-319-98806-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-98805-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-030-07536-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor algebra on the one hand and the mathematical course of classical linear algebra on the other hand. In accordance with the contemporary way of scientific publication, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. As such, this new edition also discusses such modern topics of solid mechanics as electro- and magnetoelasticity. In addition, the book also includes advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics. Hence, this textbook addresses graduate students as well as scientists working in this field and in particular dealing with multi-physical problems. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided.

About the authors

Prof. Itskov studied Automobile Engineering at the Moscow State Automobile and Road Technical University, Russia. In 1990 he received his doctoral degree in mechanics, and in 2002 he obtained his habilitation degree in mechanics from the University of Bayreuth, Germany. Since 2004 he has been full professor for continuum mechanics at the RWTH  Aachen University, Germany. His research interests comprise tensor analysis, non-linear continuum mechanics, in particular the application to anisotropic materials, as well as the mechanics of elastomers and soft tissues in a broad sense.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook 67,40 €
price for Spain (gross)
  • ISBN 978-3-319-98806-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-98805-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-030-07536-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Tensor Algebra and Tensor Analysis for Engineers
Book Subtitle
With Applications to Continuum Mechanics
Authors
Series Title
Mathematical Engineering
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-98806-1
DOI
10.1007/978-3-319-98806-1
Hardcover ISBN
978-3-319-98805-4
Softcover ISBN
978-3-030-07536-1
Series ISSN
2192-4732
Edition Number
5
Number of Pages
XIX, 300
Number of Illustrations
7 b/w illustrations, 13 illustrations in colour
Topics